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Finding the Third Proportional to 145,908 and 301,926

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Solution

The third proportional to 145,908 and 301,926 is: 624,772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,908 : 301,926 = 301,926 : x
  2. Step 2: Convert to fraction form
    145,908/301,926 = 301,926/x
  3. Step 3: Cross multiply
    145,908x = 301,926 × 301,926
  4. Step 4: Simplify right side
    145,908x = 91,159,309,476
  5. Step 5: Solve for x
    x = 91,159,309,476/145,908
  6. Step 6: Final answer
    x = 624,772.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.